# Graphing Calculator Activities Graph f ( x ) = | x | , f ( x ) = 2 | x | , f ( x ) = 4 | x | , and f ( x ) = 1 2 | x | on the same set of axes. Graph f ( x ) = | x | , f ( x ) = − | x | , f ( x ) = − 3 | x | , and f ( x ) = − 1 2 | x | on the same set of axes. Use your results from parts (a) and (b) to make a conjecture about the graphs of f ( x ) = a | x | , where a is a nonzero real number. Graph f ( x ) = | x | , f ( x ) = | x | + 3 , f ( x ) = | x | − 4 , and f ( x ) = | x | + 1 on the same set of axes. Make a conjecture about the graphs of f ( x ) = | x | + k , where k is a nonzero real number. Graph f ( x ) = | x | , f ( x ) = | x − 3 | , f ( x ) = | x − 1 | , and f ( x ) = | x + 4 | on the same set of axes. Make a conjecture about the graphs of f ( x ) = | x − h | , where h is a nonzero real number. On the basis of your results from parts (a) through (e), sketch each of the following graphs. Then use a graphing calculator to check your sketches. f ( x ) = | x − 2 | + 3 f ( x ) = | x + 1 | − 4 f ( x ) = 2 | x − 4 | − 1 f ( x ) = − 3 | x + 2 | + 4 f ( x ) = 1 2 | x − 3 | − 2

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

#### Solutions

Chapter 9.2, Problem 61PS
Textbook Problem

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